3786320160000 has 2160 divisors, whose sum is σ = 16830018670080. Its totient is φ = 836075520000.

The previous prime is 3786320159977. The next prime is 3786320160013. The reversal of 3786320160000 is 610236873.

It is a happy number.

3786320160000 is a `hidden beast` number, since 3 + 7 + 8 + 632 + 0 + 16 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6562079712 + ... + 6562080288.

Almost surely, 2^{3786320160000} is an apocalyptic number.

3786320160000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3786320160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8415009335040).

3786320160000 is an abundant number, since it is smaller than the sum of its proper divisors (13043698510080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3786320160000 is an equidigital number, since it uses as much as digits as its factorization.

3786320160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 3786320160000 its reverse (610236873), we get a palindrome (3786930396873).

The spelling of 3786320160000 in words is "three trillion, seven hundred eighty-six billion, three hundred twenty million, one hundred sixty thousand".